Pith Number

pith:7IB5LTHF

pith:2016:7IB5LTHFQQXA23VBRODDBG6BQU

not attested not anchored not stored refs pending

Building hyperbolic metrics suited to closed curves and applications to lifting simply

Jenya Sapir, Jonah Gaster, Priyam Patel, Tarik Aougab

arxiv:1603.06303 v1 · 2016-03-21 · 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{7IB5LTHFQQXA23VBRODDBG6BQU}

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	2026-05-18T01:18:49.796815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa03d5cce5842e0d6ea18b86309bc185179d41e5c410aabce8ad9ef57e31714a

Aliases

arxiv: 1603.06303 · arxiv_version: 1603.06303v1 · doi: 10.48550/arxiv.1603.06303 · pith_short_12: 7IB5LTHFQQXA · pith_short_16: 7IB5LTHFQQXA23VB · pith_short_8: 7IB5LTHF

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/7IB5LTHFQQXA23VBRODDBG6BQU \
  | 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: fa03d5cce5842e0d6ea18b86309bc185179d41e5c410aabce8ad9ef57e31714a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84e866406fcd8d63206ca24ac022adc3b014991748b6334787bc9cc501fdce46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-03-21T01:26:42Z",
    "title_canon_sha256": "82f76b5ff0e34db5c2ba1448fae6acddb75da13fb55ea0ea29c5b05dc3d5af02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06303",
    "kind": "arxiv",
    "version": 1
  }
}