Pith Number

pith:ZTAXK22G

pith:2016:ZTAXK22GNSNOSE5DDRH7BQGMT7

not attested not anchored not stored refs pending

Orientational order on surfaces - the coupling of topology, geometry, and dynamics

Axel Voigt, Ingo Nitschke, Michael Nestler, Simon Praetorius

arxiv:1608.01343 v2 · 2016-07-21 · math.NA · cond-mat.soft · math-ph · math.MP · physics.comp-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZTAXK22GNSNOSE5DDRH7BQGMT7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:38:39.952484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccc1756b466c9ae913a31c4ff0c0cc9fcf883f4ff8b941e9ccb904023d6776d4

Aliases

arxiv: 1608.01343 · arxiv_version: 1608.01343v2 · doi: 10.48550/arxiv.1608.01343 · pith_short_12: ZTAXK22GNSNO · pith_short_16: ZTAXK22GNSNOSE5D · pith_short_8: ZTAXK22G

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZTAXK22GNSNOSE5DDRH7BQGMT7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ccc1756b466c9ae913a31c4ff0c0cc9fcf883f4ff8b941e9ccb904023d6776d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b7db9f142df5e747a0f41b4288f4783ec434766f15ec9b873e2bbafd037cebe",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "math-ph",
      "math.MP",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-07-21T12:36:38Z",
    "title_canon_sha256": "4b383198d33919a19295eedac55178bfa62f360f501ee4c19a71a700ef6503f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01343",
    "kind": "arxiv",
    "version": 2
  }
}