Pith Number

pith:SJYM53HO

pith:2015:SJYM53HO3Z3GNPC74HJKYLW2LB

not attested not anchored not stored refs pending

A Borsuk-Ulam theorem for digital images

P. Christopher Staecker

arxiv:1506.06426 v1 · 2015-06-22 · math.GN · cs.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{SJYM53HO3Z3GNPC74HJKYLW2LB}

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	2026-05-18T01:41:45.260866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9270ceeceede7666bc5fe1d2ac2eda5850253cbff3d8efc09e823f2a53df204a

Aliases

arxiv: 1506.06426 · arxiv_version: 1506.06426v1 · doi: 10.48550/arxiv.1506.06426 · pith_short_12: SJYM53HO3Z3G · pith_short_16: SJYM53HO3Z3GNPC7 · pith_short_8: SJYM53HO

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/SJYM53HO3Z3GNPC74HJKYLW2LB \
  | 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: 9270ceeceede7666bc5fe1d2ac2eda5850253cbff3d8efc09e823f2a53df204a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48e5f7e72582e2c9be5b3a5962da30610d0ff3fca8d7e936d64253204f3047d8",
    "cross_cats_sorted": [
      "cs.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2015-06-22T00:04:04Z",
    "title_canon_sha256": "016ad81ced2ad26713ec344dce8bdf3f92e55214f2f24c38e51a594f5f331a29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06426",
    "kind": "arxiv",
    "version": 1
  }
}