Pith Number

pith:W6FS5XXV

pith:2020:W6FS5XXVX342RORTSY7N44IVRW

not attested not anchored not stored refs pending

Momentum graphs, Chinese remainder theorem and the surjectivity of the restriction map

James B. Carrell, Kiumars Kaveh

arxiv:2004.03780 v1 · 2020-04-08 · 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{W6FS5XXVX342RORTSY7N44IVRW}

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	2026-07-05T00:53:56.093438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b78b2edef5bef9a8ba33963ede71158d90714cff9633848ae28f1858dcad18f0

Aliases

arxiv: 2004.03780 · arxiv_version: 2004.03780v1 · doi: 10.48550/arxiv.2004.03780 · pith_short_12: W6FS5XXVX342 · pith_short_16: W6FS5XXVX342RORT · pith_short_8: W6FS5XXV

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/W6FS5XXVX342RORTSY7N44IVRW \
  | 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: b78b2edef5bef9a8ba33963ede71158d90714cff9633848ae28f1858dcad18f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a1ca14fb62c6e46d5fdca96c37f023a78415adaa190ab823cbf0cf22ba93b7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-04-08T02:46:02Z",
    "title_canon_sha256": "1b839a2542650c036d5ad7a4a617a8439a1df480aeb8915478947164cedf44c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.03780",
    "kind": "arxiv",
    "version": 1
  }
}