Pith Number

pith:EGD6T5IJ

pith:2010:EGD6T5IJFVUMAHGOYSYMEBUKTM

not attested not anchored not stored refs pending

Enumerating Galois representations in Sage

Alexandru Ghitza, Craig Citro

arxiv:1006.4084 v2 · 2010-06-21 · 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{EGD6T5IJFVUMAHGOYSYMEBUKTM}

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	2026-07-04T17:31:03.534248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2187e9f5092d68c01ccec4b0c2068a9b01e559be0ae79e8a5e6d957d7c7f3d6c

Aliases

arxiv: 1006.4084 · arxiv_version: 1006.4084v2 · doi: 10.48550/arxiv.1006.4084 · pith_short_12: EGD6T5IJFVUM · pith_short_16: EGD6T5IJFVUMAHGO · pith_short_8: EGD6T5IJ

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/EGD6T5IJFVUMAHGOYSYMEBUKTM \
  | 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: 2187e9f5092d68c01ccec4b0c2068a9b01e559be0ae79e8a5e6d957d7c7f3d6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec93600f35f47a4fcb86b432d33909af0ba2eac45bfb9b15c24a7b0d16883af9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-06-21T14:42:21Z",
    "title_canon_sha256": "4f825420ea21f0078dc33becc72928d0f1763eb34546fba6dad9ea2b6528a343"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4084",
    "kind": "arxiv",
    "version": 2
  }
}