Pith Number

pith:VPPTOWG6

pith:2016:VPPTOWG6ONT3QKUUXH3M2547BL

not attested not anchored not stored refs pending

Horosphere topology

Filippo Bracci (DIPMAT), Herv\'e Gaussier (IF)

arxiv:1605.04119 v6 · 2016-05-13 · math.CV · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VPPTOWG6ONT3QKUUXH3M2547BL}

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	2026-05-18T00:19:14.293554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abdf3758de7367b82a94b9f6cd779f0acd4ef894417a71374206435e5106e67f

Aliases

arxiv: 1605.04119 · arxiv_version: 1605.04119v6 · doi: 10.48550/arxiv.1605.04119 · pith_short_12: VPPTOWG6ONT3 · pith_short_16: VPPTOWG6ONT3QKUU · pith_short_8: VPPTOWG6

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/VPPTOWG6ONT3QKUUXH3M2547BL \
  | 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: abdf3758de7367b82a94b9f6cd779f0acd4ef894417a71374206435e5106e67f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82109c8405e579713ec1d0b807140a0af517008339d755149ea832f8f4467307",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-05-13T10:43:54Z",
    "title_canon_sha256": "fb40e95d6d6f921283ede9cfda72cbbbe9b26de81823deb06314863da87ca1ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04119",
    "kind": "arxiv",
    "version": 6
  }
}