Pith Number

pith:RJ7L6MTW

pith:2001:RJ7L6MTW53ARLGU3R5QVVOKTE5

not attested not anchored not stored refs pending

A p-adic proof of Hodge symmetry for threefolds

Kirti Joshi

arxiv:math/0110066 v1 · 2001-10-05 · 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{RJ7L6MTW53ARLGU3R5QVVOKTE5}

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	2026-05-18T03:20:59.274428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a7ebf3276eec1159a9b8f615ab953277ec45fd1e4f2e784c3de3f3d0f9045e6

Aliases

arxiv: math/0110066 · arxiv_version: math/0110066v1 · doi: 10.48550/arxiv.math/0110066 · pith_short_12: RJ7L6MTW53AR · pith_short_16: RJ7L6MTW53ARLGU3 · pith_short_8: RJ7L6MTW

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/RJ7L6MTW53ARLGU3R5QVVOKTE5 \
  | 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: 8a7ebf3276eec1159a9b8f615ab953277ec45fd1e4f2e784c3de3f3d0f9045e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "214cdc978b35e6fbb8400294ea2fff8a517b499f3600fa69b32e31cda74b56b8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-10-05T16:37:01Z",
    "title_canon_sha256": "c31cf43d99461195ceca3f0b08350c9802069b225808ee20afb69ffce821068c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0110066",
    "kind": "arxiv",
    "version": 1
  }
}