Pith Number

pith:XKSND2SH

pith:2012:XKSND2SH2DCBZ3SSACVHPDIJPU

not attested not anchored not stored refs pending

Tree-graded asymptotic cones

Alessandro Sisto

arxiv:1204.0682 v1 · 2012-04-03 · 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{XKSND2SH2DCBZ3SSACVHPDIJPU}

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	2026-05-18T03:58:38.753181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baa4d1ea47d0c41cee5200aa778d097d2c93cf1a371b72362fdddc8952a328b2

Aliases

arxiv: 1204.0682 · arxiv_version: 1204.0682v1 · doi: 10.48550/arxiv.1204.0682 · pith_short_12: XKSND2SH2DCB · pith_short_16: XKSND2SH2DCBZ3SS · pith_short_8: XKSND2SH

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/XKSND2SH2DCBZ3SSACVHPDIJPU \
  | 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: baa4d1ea47d0c41cee5200aa778d097d2c93cf1a371b72362fdddc8952a328b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33c58a320a98e829bd262a5a15d41e3b22b16d14d1c12caf5105605ae1f1b95f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-04-03T13:04:13Z",
    "title_canon_sha256": "57ebd6291ef5768022222aa2aaa47dcdf8901b3fd1bce3ec5e2b088f32f94f4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0682",
    "kind": "arxiv",
    "version": 1
  }
}