Pith Number

pith:YRFTM6YW

pith:2015:YRFTM6YWWLCBW52GACBUIJTL3G

not attested not anchored not stored refs pending

Abelian surfaces good away from 2

Akio Tamagawa, Christopher Rasmussen

arxiv:1504.03047 v1 · 2015-04-13 · 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{YRFTM6YWWLCBW52GACBUIJTL3G}

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	2026-05-18T02:18:59.323042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c44b367b16b2c41b7746008344266bd9a153850736c22bdf6b753780f619a924

Aliases

arxiv: 1504.03047 · arxiv_version: 1504.03047v1 · doi: 10.48550/arxiv.1504.03047 · pith_short_12: YRFTM6YWWLCB · pith_short_16: YRFTM6YWWLCBW52G · pith_short_8: YRFTM6YW

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/YRFTM6YWWLCBW52GACBUIJTL3G \
  | 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: c44b367b16b2c41b7746008344266bd9a153850736c22bdf6b753780f619a924

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3f0d8dcdc800369621fc39f15569e85d3c0667b248d9b96c89648047274a311",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-13T02:14:10Z",
    "title_canon_sha256": "c4710ee7f928846725fdc23c948a7c473bf338267a3e0c027cf8dc6c5f6d98ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03047",
    "kind": "arxiv",
    "version": 1
  }
}