Pith Number

pith:ZGRZCPNZ

pith:2010:ZGRZCPNZCYSMHIE57DXCSC3SQ3

not attested not anchored not stored refs pending

Computing the number of certain Galois representations mod $p$

Tommaso Giorgio Centeleghe

arxiv:1008.2059 v1 · 2010-08-12 · 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{ZGRZCPNZCYSMHIE57DXCSC3SQ3}

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	2026-05-18T04:42:21.759469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9a3913db91624c3a09df8ee290b7286c465b478046ef5d2f561f5d8bb696e05

Aliases

arxiv: 1008.2059 · arxiv_version: 1008.2059v1 · doi: 10.48550/arxiv.1008.2059 · pith_short_12: ZGRZCPNZCYSM · pith_short_16: ZGRZCPNZCYSMHIE5 · pith_short_8: ZGRZCPNZ

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/ZGRZCPNZCYSMHIE57DXCSC3SQ3 \
  | 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: c9a3913db91624c3a09df8ee290b7286c465b478046ef5d2f561f5d8bb696e05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4c2084b60622db03f6bbc0609a9be54d555bd01671db2d335037335c3192adf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-08-12T07:50:36Z",
    "title_canon_sha256": "7ed6e720de73014eb914c90be43c4d1edf3dfed15c7f52717a185090651a942c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2059",
    "kind": "arxiv",
    "version": 1
  }
}