Pith Number

pith:3RA5RAO4

pith:2015:3RA5RAO4JAKKEBM2XFTPCC64BO

not attested not anchored not stored refs pending

A compactification of outer space which is an absolute retract

Camille Horbez, Mladen Bestvina

arxiv:1512.02893 v2 · 2015-12-09 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3RA5RAO4JAKKEBM2XFTPCC64BO}

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	2026-05-18T00:00:41.638190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc41d881dc4814a2059ab966f10bdc0ba13c903c39adf56e258400f43c4d672e

Aliases

arxiv: 1512.02893 · arxiv_version: 1512.02893v2 · doi: 10.48550/arxiv.1512.02893 · pith_short_12: 3RA5RAO4JAKK · pith_short_16: 3RA5RAO4JAKKEBM2 · pith_short_8: 3RA5RAO4

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/3RA5RAO4JAKKEBM2XFTPCC64BO \
  | 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: dc41d881dc4814a2059ab966f10bdc0ba13c903c39adf56e258400f43c4d672e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43856a7916af8a325242a4b393b0051721dafa43d3603562b35aeb722819bcde",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-12-09T15:17:20Z",
    "title_canon_sha256": "ffd99247be0f057e2b1217cb24fb09eb7beaa67d7dbf5d55df5e7424108715cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02893",
    "kind": "arxiv",
    "version": 2
  }
}