Pith Number

pith:BO6RXZKO

pith:2011:BO6RXZKOBNW5P26LEBYYW2IZAY

not attested not anchored not stored refs pending

Computing all maps into a sphere

Francis Sergeraert, Ji\v{r}\'i Matou\v{s}ek, Luk\'a\v{s} Vok\v{r}\'inek, Marek Kr\v{c}\'al, Martin \v{C}adek, Uli Wagner

arxiv:1105.6257 v4 · 2011-05-31 · cs.CG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BO6RXZKOBNW5P26LEBYYW2IZAY}

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	2026-05-18T03:00:40.030895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bbd1be54e0b6dd7ebcb20718b6919062c6e5868672a7b2e8e71a3f82de8dddf

Aliases

arxiv: 1105.6257 · arxiv_version: 1105.6257v4 · doi: 10.48550/arxiv.1105.6257 · pith_short_12: BO6RXZKOBNW5 · pith_short_16: BO6RXZKOBNW5P26L · pith_short_8: BO6RXZKO

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/BO6RXZKOBNW5P26LEBYYW2IZAY \
  | 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: 0bbd1be54e0b6dd7ebcb20718b6919062c6e5868672a7b2e8e71a3f82de8dddf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "369ddefdbf1998a37eb4601eb21a46079bb82a490d7a7361544f8ae400a691cc",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2011-05-31T12:51:53Z",
    "title_canon_sha256": "89aff116795c09909bba4c6eb3e7588627055375168f7271fc6705804e799c50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.6257",
    "kind": "arxiv",
    "version": 4
  }
}