Pith Number

pith:VE2D3HK5

pith:2015:VE2D3HK5ZB32Z5BDHGUK3YZBIT

not attested not anchored not stored refs pending

Rank one local systems and forms of degree one

Botong Wang, Nero Budur, Youngho Yoon

arxiv:1504.04287 v2 · 2015-04-16 · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VE2D3HK5ZB32Z5BDHGUK3YZBIT}

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	2026-05-18T01:36:18.054641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9343d9d5dc877acf42339a8ade32144f2991c8dc66f6839a3a4fcbac98c0131

Aliases

arxiv: 1504.04287 · arxiv_version: 1504.04287v2 · doi: 10.48550/arxiv.1504.04287 · pith_short_12: VE2D3HK5ZB32 · pith_short_16: VE2D3HK5ZB32Z5BD · pith_short_8: VE2D3HK5

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/VE2D3HK5ZB32Z5BDHGUK3YZBIT \
  | 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: a9343d9d5dc877acf42339a8ade32144f2991c8dc66f6839a3a4fcbac98c0131

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c70ef296eb6bbb90bd15dee6b946143b74ed19ce0d2dc999f22547bc6ed75918",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-04-16T16:13:03Z",
    "title_canon_sha256": "b7c2f438cbcbb33fa95a967c856d4399928337b5e0a198bdffa6e2d69a5b4d6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04287",
    "kind": "arxiv",
    "version": 2
  }
}