Pith Number

pith:ASZUPRHB

pith:2025:ASZUPRHB2ZK6XVUWPSLSLZL7BE

not attested not anchored not stored refs pending

Structure and realizability for rational maps

Zhiqiang Wei

arxiv:2511.06784 v2 · 2025-11-10 · math.DG · math.AT · 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{ASZUPRHB2ZK6XVUWPSLSLZL7BE}

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	2026-05-20T00:05:37.234013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04b347c4e1d655ebd6967c9725e57f09145834cfaeba8c182a558b85d1ecc6c0

Aliases

arxiv: 2511.06784 · arxiv_version: 2511.06784v2 · doi: 10.48550/arxiv.2511.06784 · pith_short_12: ASZUPRHB2ZK6 · pith_short_16: ASZUPRHB2ZK6XVUW · pith_short_8: ASZUPRHB

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/ASZUPRHB2ZK6XVUWPSLSLZL7BE \
  | 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: 04b347c4e1d655ebd6967c9725e57f09145834cfaeba8c182a558b85d1ecc6c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a419cf8492b67ccae362382349779aad1a8de93b6bd600229cea4b8872b2b04",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-11-10T07:15:53Z",
    "title_canon_sha256": "e67d0ffce316be59101b2a5ce771f373d5980cce5bcb86cb96c090d25332ef33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.06784",
    "kind": "arxiv",
    "version": 2
  }
}