Pith Number

pith:KE5S75I4

pith:2018:KE5S75I4EFIZ4XTWY2267A6DTT

not attested not anchored not stored refs pending

Almost $C_p$ Galois representations and vector bundles

Jean-Marc Fontaine

arxiv:1805.02905 v1 · 2018-05-08 · 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{KE5S75I4EFIZ4XTWY2267A6DTT}

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	2026-05-18T00:16:35.312549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

513b2ff51c21519e5e76c6b5ef83c39ccd154ec8008968348e61ca385d08ed52

Aliases

arxiv: 1805.02905 · arxiv_version: 1805.02905v1 · doi: 10.48550/arxiv.1805.02905 · pith_short_12: KE5S75I4EFIZ · pith_short_16: KE5S75I4EFIZ4XTW · pith_short_8: KE5S75I4

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/KE5S75I4EFIZ4XTWY2267A6DTT \
  | 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: 513b2ff51c21519e5e76c6b5ef83c39ccd154ec8008968348e61ca385d08ed52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2babba960bba72cef8e6fb8b9b724e7435312ebc324c7ddd4c6cf5692baf5f00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-05-08T09:02:03Z",
    "title_canon_sha256": "9d3bf0aa3fbf2a813fc08247e84a67c67e7328fe605086c52fb7b7951def05b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.02905",
    "kind": "arxiv",
    "version": 1
  }
}