Pith Number

pith:MZKE6ZES

pith:2011:MZKE6ZES3YAZAFBIIJITLQBKA3

not attested not anchored not stored refs pending

Disclination Loops, Hedgehogs, and All That

Bryan Gin-ge Chen, Elisabetta A. Matsumoto, Gareth P. Alexander, Randall D. Kamien

arxiv:1107.1169 v1 · 2011-07-06 · cond-mat.soft · cond-mat.stat-mech · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MZKE6ZES3YAZAFBIIJITLQBKA3}

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	2026-05-18T03:58:24.714788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66544f6492de01901428425135c02a06e7fe622b721770a399bbdf71fcc8fe35

Aliases

arxiv: 1107.1169 · arxiv_version: 1107.1169v1 · doi: 10.48550/arxiv.1107.1169 · pith_short_12: MZKE6ZES3YAZ · pith_short_16: MZKE6ZES3YAZAFBI · pith_short_8: MZKE6ZES

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/MZKE6ZES3YAZAFBIIJITLQBKA3 \
  | 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: 66544f6492de01901428425135c02a06e7fe622b721770a399bbdf71fcc8fe35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a0265c760ab595b2bf3c4a849eeb602c456890d02ccfdfccec893406923524f",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2011-07-06T15:58:52Z",
    "title_canon_sha256": "f6aa940c541dd66819a87f5db47127c940df9a2bae2f52a8a6d0da29f750231d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1169",
    "kind": "arxiv",
    "version": 1
  }
}