Pith Number

pith:AVPG3QWM

pith:2012:AVPG3QWMGNHZU3SVNPWND6Q7CN

not attested not anchored not stored refs pending

Families of trianguline representations and finite slope spaces

Eugen Hellmann

arxiv:1202.4408 v1 · 2012-02-20 · math.AG · 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{AVPG3QWMGNHZU3SVNPWND6Q7CN}

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	2026-05-18T04:01:51.597059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

055e6dc2cc334f9a6e556becd1fa1f134135e9689b65dfc49c805a8bc209db24

Aliases

arxiv: 1202.4408 · arxiv_version: 1202.4408v1 · doi: 10.48550/arxiv.1202.4408 · pith_short_12: AVPG3QWMGNHZ · pith_short_16: AVPG3QWMGNHZU3SV · pith_short_8: AVPG3QWM

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/AVPG3QWMGNHZU3SVNPWND6Q7CN \
  | 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: 055e6dc2cc334f9a6e556becd1fa1f134135e9689b65dfc49c805a8bc209db24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afc030122d2b0d1527ab233f971fc419fd6f4a678ab23cc6aa4cd7db255ac873",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-02-20T18:13:47Z",
    "title_canon_sha256": "943cfc516a56a48a0e725b9ff797258e6014ad473f5decfaa3f83736ded43810"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4408",
    "kind": "arxiv",
    "version": 1
  }
}