Pith Number

pith:4JICMZUS

pith:2011:4JICMZUS2Y6WBTIETOSER4QLFB

not attested not anchored not stored refs pending

Static flow on complete noncompact manifolds I: short-time existence and asymptotic expansions at conformal infinity

Xue Hu, Yuguang Shi

arxiv:1109.5456 v2 · 2011-09-26 · 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{4JICMZUS2Y6WBTIETOSER4QLFB}

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	2026-05-18T02:00:23.766977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e250266692d63d60cd049ba448f20b285f2889c6516b089a78ed287ac772d22c

Aliases

arxiv: 1109.5456 · arxiv_version: 1109.5456v2 · doi: 10.48550/arxiv.1109.5456 · pith_short_12: 4JICMZUS2Y6W · pith_short_16: 4JICMZUS2Y6WBTIE · pith_short_8: 4JICMZUS

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/4JICMZUS2Y6WBTIETOSER4QLFB \
  | 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: e250266692d63d60cd049ba448f20b285f2889c6516b089a78ed287ac772d22c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6fc14dea50f4d8ae095ffc69f0a6a01400286fc93bb1da47fba9a2a823dce35",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-26T07:04:23Z",
    "title_canon_sha256": "85cdd604ad14b3c771db0a1fa6ea44872b115cdab64bb0d98beaba777204b447"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5456",
    "kind": "arxiv",
    "version": 2
  }
}