Pith Number

pith:TEXD7KM2

pith:2017:TEXD7KM2KPOJVGUB5JA4TGJJAR

not attested not anchored not stored refs pending

Mumford-Roitman argument on families

Kalyan Banerjee

arxiv:1705.02791 v2 · 2017-05-08 · 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{TEXD7KM2KPOJVGUB5JA4TGJJAR}

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	2026-05-18T00:44:38.421427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

992e3fa99a53dc9a9a81ea41c9992904754e49123d256e3d3c5d4a996ab0d28d

Aliases

arxiv: 1705.02791 · arxiv_version: 1705.02791v2 · doi: 10.48550/arxiv.1705.02791 · pith_short_12: TEXD7KM2KPOJ · pith_short_16: TEXD7KM2KPOJVGUB · pith_short_8: TEXD7KM2

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/TEXD7KM2KPOJVGUB5JA4TGJJAR \
  | 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: 992e3fa99a53dc9a9a81ea41c9992904754e49123d256e3d3c5d4a996ab0d28d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fca5e8ae79d89c74ec82761ca4eefc2bd7e2de7ed24fbac1bb3510ba581ce39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-05-08T09:15:14Z",
    "title_canon_sha256": "d4414ed28d23957dd76fde8368acb2e3271e02903bdac78f6cc5eb8f5f697de6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02791",
    "kind": "arxiv",
    "version": 2
  }
}