Pith Number

pith:VLVSAAFG

pith:2012:VLVSAAFG6DHGR2DLMILXLU5JAN

not attested not anchored not stored refs pending

Nearly Euclidean Thurston maps

James W. Cannon, Kevin M. Pilgrim, Walter R. Parry, William J. Floyd

arxiv:1204.3615 v1 · 2012-04-16 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VLVSAAFG6DHGR2DLMILXLU5JAN}

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	2026-05-18T03:57:51.081808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaeb2000a6f0ce68e86b621775d3a9034e8f6de861a37a772d2e1df7d35ecb1b

Aliases

arxiv: 1204.3615 · arxiv_version: 1204.3615v1 · doi: 10.48550/arxiv.1204.3615 · pith_short_12: VLVSAAFG6DHG · pith_short_16: VLVSAAFG6DHGR2DL · pith_short_8: VLVSAAFG

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/VLVSAAFG6DHGR2DLMILXLU5JAN \
  | 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: aaeb2000a6f0ce68e86b621775d3a9034e8f6de861a37a772d2e1df7d35ecb1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5500491ba7ee6d1a0dbe1819976471786da892a01cdd4644e30df21c60bf0a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-04-16T19:54:25Z",
    "title_canon_sha256": "9c942744e16496b8ec7dd1876c85bd3a4528d030a7ab2c43d1dd8ed1524fd566"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3615",
    "kind": "arxiv",
    "version": 1
  }
}