Pith Number

pith:VZWFDH6M

pith:2025:VZWFDH6MPQOJ3Z7DQFRAMB53IL

not attested not anchored not stored refs pending

New tools in hierarchical hyperbolicity: A survey

Alessandro Sisto

arxiv:2507.17546 v1 · 2025-07-23 · math.GR · 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{VZWFDH6MPQOJ3Z7DQFRAMB53IL}

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	2026-07-05T11:42:09.745367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae6c519fcc7c1c9de7e381620607bb42f50944856749e5ab413b5d4757a8091c

Aliases

arxiv: 2507.17546 · arxiv_version: 2507.17546v1 · doi: 10.48550/arxiv.2507.17546 · pith_short_12: VZWFDH6MPQOJ · pith_short_16: VZWFDH6MPQOJ3Z7D · pith_short_8: VZWFDH6M

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/VZWFDH6MPQOJ3Z7DQFRAMB53IL \
  | 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: ae6c519fcc7c1c9de7e381620607bb42f50944856749e5ab413b5d4757a8091c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17747e40fea1dc9367377e9873faa80951c6d527b15a24810dc4c1e4a3c6293f",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-07-23T14:23:19Z",
    "title_canon_sha256": "db35872575e7636fa61d510c283fdf0d98d4ac5d8f5ea801c3a501ff8955545d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.17546",
    "kind": "arxiv",
    "version": 1
  }
}