Pith Number

pith:SDXATJJH

pith:2004:SDXATJJHOR5FZG7L3EX4ZDJE34

not attested not anchored not stored refs pending

Overtwisted energy-minimizing curl eigenfields

R. Ghrist, R. Komendarczyk

arxiv:math/0411319 v2 · 2004-11-14 · math.SG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SDXATJJHOR5FZG7L3EX4ZDJE34}

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	2026-05-18T01:33:17.276302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90ee09a527747a5c9bebd92fcc8d24df3109ba8baba3c193cd9255becc33e84c

Aliases

arxiv: math/0411319 · arxiv_version: math/0411319v2 · doi: 10.48550/arxiv.math/0411319 · pith_short_12: SDXATJJHOR5F · pith_short_16: SDXATJJHOR5FZG7L · pith_short_8: SDXATJJH

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/SDXATJJHOR5FZG7L3EX4ZDJE34 \
  | 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: 90ee09a527747a5c9bebd92fcc8d24df3109ba8baba3c193cd9255becc33e84c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c27560f35685017cd5e34f6dfe8987a885846baf2aefe6773751005b2bb3ac28",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2004-11-14T20:37:23Z",
    "title_canon_sha256": "8a33f66a2e13b5686db0ae0a91194cf5bbb0d33b0de0e93dbd213217f822022b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411319",
    "kind": "arxiv",
    "version": 2
  }
}