Pith Number

pith:AKJARJC2

pith:2017:AKJARJC2IKLG25ZPRDEVIWJSB3

not attested not anchored not stored refs pending

What is a hierarchically hyperbolic space?

Alessandro Sisto

arxiv:1707.00053 v1 · 2017-06-30 · 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{AKJARJC2IKLG25ZPRDEVIWJSB3}

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	2026-05-18T00:41:08.716893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

029208a45a42966d772f88c95459320ed248c0b5de337423b8618d2612c4db71

Aliases

arxiv: 1707.00053 · arxiv_version: 1707.00053v1 · doi: 10.48550/arxiv.1707.00053 · pith_short_12: AKJARJC2IKLG · pith_short_16: AKJARJC2IKLG25ZP · pith_short_8: AKJARJC2

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/AKJARJC2IKLG25ZPRDEVIWJSB3 \
  | 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: 029208a45a42966d772f88c95459320ed248c0b5de337423b8618d2612c4db71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6b18686b8a99c61fa1b24baec5a1173c37be73cbc4f61678e98f5168944e6f2",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-06-30T21:57:52Z",
    "title_canon_sha256": "bfae6e0e5f17b936ddeaf17517f14f41c9f993f44a534aca9450b84d2b6ddaa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.00053",
    "kind": "arxiv",
    "version": 1
  }
}