Pith Number

pith:ESAKO3Y4

pith:2005:ESAKO3Y4FOHDJNK5AU2RPBZCPM

not attested not anchored not stored refs pending

Surfaces in 4-manifolds: Addendum

Ronald Fintushel, Ronald J. Stern

arxiv:math/0511707 v1 · 2005-11-29 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ESAKO3Y4FOHDJNK5AU2RPBZCPM}

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	2026-07-04T14:51:45.501369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2480a76f1c2b8e34b55d05351787227b3707b509ee61cf814c5eabd04ed5b9df

Aliases

arxiv: math/0511707 · arxiv_version: math/0511707v1 · doi: 10.48550/arxiv.math/0511707 · pith_short_12: ESAKO3Y4FOHD · pith_short_16: ESAKO3Y4FOHDJNK5 · pith_short_8: ESAKO3Y4

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/ESAKO3Y4FOHDJNK5AU2RPBZCPM \
  | 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: 2480a76f1c2b8e34b55d05351787227b3707b509ee61cf814c5eabd04ed5b9df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec6744ff8c870ca36f5e36eddc12f03dcf3b80ef9b21f3c4f04921cb7efec746",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2005-11-29T15:06:12Z",
    "title_canon_sha256": "2943d9f52d6d01848d270371c2ce7a262823e6ac595b6e27b757ee5b0ae06210"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511707",
    "kind": "arxiv",
    "version": 1
  }
}