Pith Number

pith:23C627Q3

pith:2017:23C627Q3E2ZLJGJMQ26DU4NKE5

not attested not anchored not stored refs pending

A note on Mumford-Roitman argument on Chow schemes

Kalyan Banerjee

arxiv:1701.03431 v1 · 2017-01-12 · 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{23C627Q3E2ZLJGJMQ26DU4NKE5}

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	2026-05-18T00:52:55.901613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6c5ed7e1b26b2b4992c86bc3a71aa2753c1aea6769490427966816ac5ac730b

Aliases

arxiv: 1701.03431 · arxiv_version: 1701.03431v1 · doi: 10.48550/arxiv.1701.03431 · pith_short_12: 23C627Q3E2ZL · pith_short_16: 23C627Q3E2ZLJGJM · pith_short_8: 23C627Q3

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/23C627Q3E2ZLJGJMQ26DU4NKE5 \
  | 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: d6c5ed7e1b26b2b4992c86bc3a71aa2753c1aea6769490427966816ac5ac730b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "888ff81eed132c9d20be86a3084d6ef96b822177906ab7aa71e89707f13ef389",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-01-12T17:38:30Z",
    "title_canon_sha256": "7217a243d3a7321426e605cf80d2d50581b199cae179677c815b847c3e2e9f39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03431",
    "kind": "arxiv",
    "version": 1
  }
}