Pith Number

pith:ZFNAPW2W

pith:2011:ZFNAPW2WXTNFLWUSX2YJZLQUGL

not attested not anchored not stored refs pending

A splitting theorem for higher order parallel immersions

Ines Kath, Paul-Andi Nagy

arxiv:1103.1615 v1 · 2011-03-08 · 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{ZFNAPW2WXTNFLWUSX2YJZLQUGL}

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	2026-05-18T03:52:15.106046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c95a07db56bcda55da92beb09cae1432f430f6320a3579832dac7e17c3c1e4c4

Aliases

arxiv: 1103.1615 · arxiv_version: 1103.1615v1 · doi: 10.48550/arxiv.1103.1615 · pith_short_12: ZFNAPW2WXTNF · pith_short_16: ZFNAPW2WXTNFLWUS · pith_short_8: ZFNAPW2W

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/ZFNAPW2WXTNFLWUSX2YJZLQUGL \
  | 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: c95a07db56bcda55da92beb09cae1432f430f6320a3579832dac7e17c3c1e4c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f106ba2d7589d2258ebe7c6a58a5dc29943fe4688b6ba7e146d084bb8803fab5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-03-08T19:57:09Z",
    "title_canon_sha256": "c3c34f9d967246397a5cc0fa8ad44cd8c5e859fb5419cd328d8082c6fbd2293a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1615",
    "kind": "arxiv",
    "version": 1
  }
}