Pith Number

pith:JOYYQVEU

pith:2011:JOYYQVEUL5SVV2DPO67MN36CLT

not attested not anchored not stored refs pending

A general approach to equivariant biharmonic maps

Andrea Ratto, Stefano Montaldo

arxiv:1109.6207 v2 · 2011-09-28 · 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{JOYYQVEUL5SVV2DPO67MN36CLT}

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	2026-05-18T03:58:26.350084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bb18854945f655ae86f77bec6efc25ccfd9628994d6feae2114625d4c177bbd

Aliases

arxiv: 1109.6207 · arxiv_version: 1109.6207v2 · doi: 10.48550/arxiv.1109.6207 · pith_short_12: JOYYQVEUL5SV · pith_short_16: JOYYQVEUL5SVV2DP · pith_short_8: JOYYQVEU

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/JOYYQVEUL5SVV2DPO67MN36CLT \
  | 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: 4bb18854945f655ae86f77bec6efc25ccfd9628994d6feae2114625d4c177bbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28a98a3eb22c3abac28e481d39185503582202db41c330a85c46693230e442c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-28T13:52:10Z",
    "title_canon_sha256": "2428a360181f66a42927fa6cd7969334081293ef4c668b0d2a645edbb6e31633"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6207",
    "kind": "arxiv",
    "version": 2
  }
}