Pith Number

pith:SD2R2U5E

pith:2013:SD2R2U5EQF2OITPN4NUQ7JSDRX

not attested not anchored not stored refs pending

Conformal change of Riemannian metrics and biharmonic maps

Hajime Urakawa, Hisashi Naito

arxiv:1301.7150 v3 · 2013-01-30 · 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{SD2R2U5EQF2OITPN4NUQ7JSDRX}

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	2026-05-18T02:31:27.612275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90f51d53a48174e44dede3690fa6438dd27bc0f0803d9646b3f73568fe4c40b0

Aliases

arxiv: 1301.7150 · arxiv_version: 1301.7150v3 · doi: 10.48550/arxiv.1301.7150 · pith_short_12: SD2R2U5EQF2O · pith_short_16: SD2R2U5EQF2OITPN · pith_short_8: SD2R2U5E

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/SD2R2U5EQF2OITPN4NUQ7JSDRX \
  | 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: 90f51d53a48174e44dede3690fa6438dd27bc0f0803d9646b3f73568fe4c40b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "873e2b755e2e83a2707b42c36ef08ef644ef14f98b1683299451dfd83e380ce9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-01-30T06:11:06Z",
    "title_canon_sha256": "f86f176721b3df2115fe1e9eca36091a4bc93c060f4612ad80c1b3f7ed9799a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7150",
    "kind": "arxiv",
    "version": 3
  }
}