Pith Number

pith:HXAFMLJD

pith:2015:HXAFMLJDMQKPADVZN2MHI3RPOH

not attested not anchored not stored refs pending

Loop Hodge structure and harmonic bundles

Jeremy Daniel

arxiv:1511.06258 v1 · 2015-11-19 · math.DG · 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{HXAFMLJDMQKPADVZN2MHI3RPOH}

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	2026-05-18T01:26:26.012228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dc0562d236414f00eb96e98746e2f71ecb84c559f2e904ed0d6d6cab5ab4a03

Aliases

arxiv: 1511.06258 · arxiv_version: 1511.06258v1 · doi: 10.48550/arxiv.1511.06258 · pith_short_12: HXAFMLJDMQKP · pith_short_16: HXAFMLJDMQKPADVZ · pith_short_8: HXAFMLJD

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/HXAFMLJDMQKPADVZN2MHI3RPOH \
  | 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: 3dc0562d236414f00eb96e98746e2f71ecb84c559f2e904ed0d6d6cab5ab4a03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "102394dad846210e8e0c23ea4d7afdb648a147ad683d2d34d38141b55cc40544",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-11-19T16:58:49Z",
    "title_canon_sha256": "de01a6d0016e99d551edfaa240fcfd93ca02a98fcc92bfd0e67c88227f34966c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06258",
    "kind": "arxiv",
    "version": 1
  }
}