Pith Number

pith:M7ZWTKQU

pith:2015:M7ZWTKQUI23YKN4REA72U67QDJ

not attested not anchored not stored refs pending

The Stokes Phenomenon and Some Applications

Marius van der Put

arxiv:1501.05205 v2 · 2015-01-21 · 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{M7ZWTKQUI23YKN4REA72U67QDJ}

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	2026-05-18T02:17:21.602676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67f369aa1446b7853791203faa7bf01a5d7a475efeea6815922600d2b705eb6e

Aliases

arxiv: 1501.05205 · arxiv_version: 1501.05205v2 · doi: 10.48550/arxiv.1501.05205 · pith_short_12: M7ZWTKQUI23Y · pith_short_16: M7ZWTKQUI23YKN4R · pith_short_8: M7ZWTKQU

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/M7ZWTKQUI23YKN4REA72U67QDJ \
  | 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: 67f369aa1446b7853791203faa7bf01a5d7a475efeea6815922600d2b705eb6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41b745b9cfad9b5dc5130a98ad409c4b3dba76e7c0c30a3cf3992df0892be31f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-01-21T15:49:50Z",
    "title_canon_sha256": "a5cc1eb80fbf2e2225b98e0cf152978fc23aba611dc080b18d64f31fa2e34acd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05205",
    "kind": "arxiv",
    "version": 2
  }
}