Pith Number

pith:RJPA3V4A

pith:2012:RJPA3V4AE3X5KLXGAYM5IRYIUJ

not attested not anchored not stored refs pending

Towards the symplectic Graber-Harris-Starr theorems

Zhiyu Tian

arxiv:1208.4340 v2 · 2012-08-21 · 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{RJPA3V4AE3X5KLXGAYM5IRYIUJ}

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	2026-05-18T03:48:14.411361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a5e0dd78026efd52ee60619d44708a27ee92a32e99234c9bd6b504c9a98a7b6

Aliases

arxiv: 1208.4340 · arxiv_version: 1208.4340v2 · doi: 10.48550/arxiv.1208.4340 · pith_short_12: RJPA3V4AE3X5 · pith_short_16: RJPA3V4AE3X5KLXG · pith_short_8: RJPA3V4A

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/RJPA3V4AE3X5KLXGAYM5IRYIUJ \
  | 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: 8a5e0dd78026efd52ee60619d44708a27ee92a32e99234c9bd6b504c9a98a7b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe98a7056bf3c4d040c66066fcbdd6c6f485c4d1e1265952e27072b64348b695",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-08-21T18:54:14Z",
    "title_canon_sha256": "4869535b51f38aab5e2f054fad6ae75f422388fdcc8a4be0cd25d0839416382e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4340",
    "kind": "arxiv",
    "version": 2
  }
}