Pith Number

pith:QHOL4YXE

pith:2015:QHOL4YXE6AIL6ZQTZTXE7RHYES

not attested not anchored not stored refs pending

Vanishing polyhedron and collapsing map

Aur\'elio Menegon Neto, L\^e D\~ung Tr\'ang

arxiv:1511.06812 v1 · 2015-11-21 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QHOL4YXE6AIL6ZQTZTXE7RHYES}

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	2026-05-18T01:26:19.417564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81dcbe62e4f010bf6613ccee4fc4f8248c4483d73e91c2c9663aa017d868e023

Aliases

arxiv: 1511.06812 · arxiv_version: 1511.06812v1 · doi: 10.48550/arxiv.1511.06812 · pith_short_12: QHOL4YXE6AIL · pith_short_16: QHOL4YXE6AIL6ZQT · pith_short_8: QHOL4YXE

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/QHOL4YXE6AIL6ZQTZTXE7RHYES \
  | 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: 81dcbe62e4f010bf6613ccee4fc4f8248c4483d73e91c2c9663aa017d868e023

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9828bf69e7cc58af6be205d995a18a847dbe04d72091a2939ddd4bd1b244a3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-11-21T01:42:57Z",
    "title_canon_sha256": "a6af7c65184942980a2c443ee6ddf8855795088466708ffd974a42dc6ecf580a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06812",
    "kind": "arxiv",
    "version": 1
  }
}