Pith Number

pith:P52BSYIG

pith:2015:P52BSYIGFMBCCNKOECTQ2AGAFM

not attested not anchored not stored refs pending

Deligne--Langlands gamma factors in families

David Helm, Gilbert Moss

arxiv:1510.08743 v3 · 2015-10-29 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P52BSYIGFMBCCNKOECTQ2AGAFM}

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	2026-05-18T00:38:18.801445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f741961062b0221354e20a70d00c02b28a9977c2e64bcb887c98ffe6abf7552

Aliases

arxiv: 1510.08743 · arxiv_version: 1510.08743v3 · doi: 10.48550/arxiv.1510.08743 · pith_short_12: P52BSYIGFMBC · pith_short_16: P52BSYIGFMBCCNKO · pith_short_8: P52BSYIG

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/P52BSYIGFMBCCNKOECTQ2AGAFM \
  | 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: 7f741961062b0221354e20a70d00c02b28a9977c2e64bcb887c98ffe6abf7552

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2876d1dbbdb2892e4848a62676d7bc566d67a989d6b2e92e5f5ff861123df3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-29T15:39:28Z",
    "title_canon_sha256": "72dc735105e7ce39268a619f05abe398cb1c1e1a77c1a984dce4bdbfb1c01121"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08743",
    "kind": "arxiv",
    "version": 3
  }
}