Pith Number

pith:DTQSI6IC

pith:2015:DTQSI6ICD2PXUMGPHGEOFFK2N3

not attested not anchored not stored refs pending

Images of Pseudo-Representations and Coefficients of Modular Forms modulo p

Jo\"el Bella\"iche

arxiv:1505.01216 v2 · 2015-05-05 · 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{DTQSI6ICD2PXUMGPHGEOFFK2N3}

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	2026-05-18T00:54:14.036391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ce12479021e9f7a30cf3988e2955a6eff99be0ae58cbe1dceec678ccbbff21c

Aliases

arxiv: 1505.01216 · arxiv_version: 1505.01216v2 · doi: 10.48550/arxiv.1505.01216 · pith_short_12: DTQSI6ICD2PX · pith_short_16: DTQSI6ICD2PXUMGP · pith_short_8: DTQSI6IC

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/DTQSI6ICD2PXUMGPHGEOFFK2N3 \
  | 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: 1ce12479021e9f7a30cf3988e2955a6eff99be0ae58cbe1dceec678ccbbff21c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c4bc9a33f1abfd3163b73e0981bdf80955fd1e4240de7ed761de796a7b462f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-05T23:08:14Z",
    "title_canon_sha256": "a09cd549647fb3ccf549679b93f39dbbcc136fa78dea9b2e2d4fa4c412abe810"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01216",
    "kind": "arxiv",
    "version": 2
  }
}