Pith Number

pith:2MM5KM2R

pith:2013:2MM5KM2RLQSY77NVQGRUC2E5CZ

not attested not anchored not stored refs pending

Evidence for the Dynamical Brauer-Manin Criterion

Adam Towsley, Bianca Viray, Ekaterina Amerik, Jose Felipe Voloch, Khoa Nguyen, Par Kurlberg

arxiv:1305.4398 v2 · 2013-05-19 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2MM5KM2RLQSY77NVQGRUC2E5CZ}

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	2026-05-18T03:09:22.134223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d319d533515c258ffdb581a341689d166a2e0bd445adc67b3bcae1a82624ff30

Aliases

arxiv: 1305.4398 · arxiv_version: 1305.4398v2 · doi: 10.48550/arxiv.1305.4398 · pith_short_12: 2MM5KM2RLQSY · pith_short_16: 2MM5KM2RLQSY77NV · pith_short_8: 2MM5KM2R

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/2MM5KM2RLQSY77NVQGRUC2E5CZ \
  | 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: d319d533515c258ffdb581a341689d166a2e0bd445adc67b3bcae1a82624ff30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78e2eb9b82caa6446d3fdf4c01cfe840fa51abe024e2afc064d23f97b2f4d9c0",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-19T19:02:39Z",
    "title_canon_sha256": "96bc3488609dccce6e060d88d316cf04c6099903c24ad43e935bbf65bcd9892c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4398",
    "kind": "arxiv",
    "version": 2
  }
}