Pith Number

pith:ODS4ZOYA

pith:2012:ODS4ZOYADZ27VQ6NXCNTGK4FSH

not attested not anchored not stored refs pending

On Energy Functions for String-Like Continuous Curves, Discrete Chains, and Space-Filling One Dimensional Structures

Antti J. Niemi, Shuangwei Hu, Ying Jiang

arxiv:1210.7371 v1 · 2012-10-27 · hep-th · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ODS4ZOYADZ27VQ6NXCNTGK4FSH}

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	2026-05-18T01:53:36.742638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70e5ccbb001e75fac3cdb89b332b8591d425a0304751beb8e3422843c9ef92f8

Aliases

arxiv: 1210.7371 · arxiv_version: 1210.7371v1 · doi: 10.48550/arxiv.1210.7371 · pith_short_12: ODS4ZOYADZ27 · pith_short_16: ODS4ZOYADZ27VQ6N · pith_short_8: ODS4ZOYA

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/ODS4ZOYADZ27VQ6NXCNTGK4FSH \
  | 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: 70e5ccbb001e75fac3cdb89b332b8591d425a0304751beb8e3422843c9ef92f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e58b63c49db9f735e99ecdd007f593c2cd63041d8fd6aa43be280184b827d3d6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-10-27T20:39:07Z",
    "title_canon_sha256": "5f095c13ffcf285dbbc406a6d3894e3e2cc7bf847c418a01f42bd1c5a0d9d749"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7371",
    "kind": "arxiv",
    "version": 1
  }
}