Pith Number

pith:EY7MTJ2C

pith:2014:EY7MTJ2CZ3NVCQWTSCM6XTYWZK

not attested not anchored not stored refs pending

Hyperbolic relatively hyperbolic graphs and disc graphs

Ursula Hamenstaedt

arxiv:1403.0910 v2 · 2014-03-04 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EY7MTJ2CZ3NVCQWTSCM6XTYWZK}

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	2026-05-18T02:51:41.495601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

263ec9a742cedb5142d39099ebcf16cab700d717d9713c6084a81507bf881ed7

Aliases

arxiv: 1403.0910 · arxiv_version: 1403.0910v2 · doi: 10.48550/arxiv.1403.0910 · pith_short_12: EY7MTJ2CZ3NV · pith_short_16: EY7MTJ2CZ3NVCQWT · pith_short_8: EY7MTJ2C

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/EY7MTJ2CZ3NVCQWTSCM6XTYWZK \
  | 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: 263ec9a742cedb5142d39099ebcf16cab700d717d9713c6084a81507bf881ed7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91a20f8b52c7fc8c25b1c521e1602d8c65ff1655866fd2c07707db73b09312fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-03-04T19:26:10Z",
    "title_canon_sha256": "50f9c724643ed697c1d1978e78c00bfa27511e163e09eb8df27d1a8cf85f1d86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0910",
    "kind": "arxiv",
    "version": 2
  }
}