Pith Number

pith:2ZGB763F

pith:2023:2ZGB763FYKAEJM26QMJNRDLWGP

not attested not anchored not stored refs pending

An exotic 5RP^2 in the 4-sphere

Andr\'as I. Stipsicz, Fer\.it \"Ozt\"urk, Giancarlo Urz\'ua, Gordana Mati\'c, Javier Reyes

arxiv:2312.03617 v2 · 2023-12-06 · math.GT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ZGB763FYKAEJM26QMJNRDLWGP}

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.

Cited by

1 paper in Pith

Exotic Surfaces in 4-manifolds and Surface Corks

Receipt and verification

First computed	2026-07-05T08:36:20.915131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d64c1ffb65c28044b35e8312d88d7633c03ccffb41daa0a92e8e1fe4e191942c

Aliases

arxiv: 2312.03617 · arxiv_version: 2312.03617v2 · doi: 10.48550/arxiv.2312.03617 · pith_short_12: 2ZGB763FYKAE · pith_short_16: 2ZGB763FYKAEJM26 · pith_short_8: 2ZGB763F

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/2ZGB763FYKAEJM26QMJNRDLWGP \
  | 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: d64c1ffb65c28044b35e8312d88d7633c03ccffb41daa0a92e8e1fe4e191942c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86b7b52a678b4f32bf7ec692127e0ed4fee3b8a264a0783ac6a1c156efdc7bce",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-12-06T17:00:59Z",
    "title_canon_sha256": "7f8b32cd3996ebc3787bca6f534818898780d89c2eb5c53a5562590cc051cd34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.03617",
    "kind": "arxiv",
    "version": 2
  }
}