Pith Number

pith:INREPOED

pith:2014:INREPOEDBTVFPACSMA3YF6DJLW

not attested not anchored not stored refs pending

The biharmonicity of sections of the tangent bundle

Hajime Urakawa, Michael Markellos

arxiv:1407.1127 v2 · 2014-07-04 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{INREPOEDBTVFPACSMA3YF6DJLW}

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	2026-05-18T02:45:57.638907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

436247b8830cea578052603782f8695d8d735333b5313e425a125260f320dc92

Aliases

arxiv: 1407.1127 · arxiv_version: 1407.1127v2 · doi: 10.48550/arxiv.1407.1127 · pith_short_12: INREPOEDBTVF · pith_short_16: INREPOEDBTVFPACS · pith_short_8: INREPOED

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/INREPOEDBTVFPACSMA3YF6DJLW \
  | 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: 436247b8830cea578052603782f8695d8d735333b5313e425a125260f320dc92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2725c3e30094fcbc895528fc19eef052660b963070a654b60f47b1f25bf8997c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-07-04T06:11:40Z",
    "title_canon_sha256": "50ce4819533c8ebc36d424d7dca162574b2091379ffe651f06b70fda0018a7da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.1127",
    "kind": "arxiv",
    "version": 2
  }
}