Pith Number

pith:I7ECAPDM

pith:2016:I7ECAPDM3GFMNZCLMUDMHAEBTE

not attested not anchored not stored refs pending

Smooth surjections and surjective restrictions

Enrico Le Donne, Jes\'us A. Jaramillo, Richard M. Aron

arxiv:1607.01725 v2 · 2016-07-06 · math.FA · 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{I7ECAPDM3GFMNZCLMUDMHAEBTE}

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	2026-05-18T00:12:14.465033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47c8203c6cd98ac6e44b6506c3808199247f053ce712a9d4e54f069c630e85c4

Aliases

arxiv: 1607.01725 · arxiv_version: 1607.01725v2 · doi: 10.48550/arxiv.1607.01725 · pith_short_12: I7ECAPDM3GFM · pith_short_16: I7ECAPDM3GFMNZCL · pith_short_8: I7ECAPDM

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/I7ECAPDM3GFMNZCLMUDMHAEBTE \
  | 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: 47c8203c6cd98ac6e44b6506c3808199247f053ce712a9d4e54f069c630e85c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f68ddbad28e52ac51839a9a4a632e4e3663f194f7fab18f5d8f3cb2bf7865093",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-07-06T17:56:49Z",
    "title_canon_sha256": "b8e481aaa736aeb44cbd9aeef0a0b609ade8aed8ec8abd4da19dcf20c3b3cb76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01725",
    "kind": "arxiv",
    "version": 2
  }
}