Pith Number

pith:4PH4K4DD

pith:2015:4PH4K4DD7ZGUVM3BT62JTGTLHV

not attested not anchored not stored refs pending

On lightness of one class of mappings in metric spaces

Evgeny Sevost'yanov, Sergei Skvortsov

arxiv:1512.03574 v1 · 2015-12-11 · 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{4PH4K4DD7ZGUVM3BT62JTGTLHV}

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	2026-05-18T01:24:32.031994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3cfc57063fe4d4ab3619fb4999a6b3d41c1b5ed30cae18ac934cadcd0ddbb4b

Aliases

arxiv: 1512.03574 · arxiv_version: 1512.03574v1 · doi: 10.48550/arxiv.1512.03574 · pith_short_12: 4PH4K4DD7ZGU · pith_short_16: 4PH4K4DD7ZGUVM3B · pith_short_8: 4PH4K4DD

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/4PH4K4DD7ZGUVM3BT62JTGTLHV \
  | 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: e3cfc57063fe4d4ab3619fb4999a6b3d41c1b5ed30cae18ac934cadcd0ddbb4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41b0af09cfb76376665ba0907ebe66dcf473729261ce6996a026a46731a4bca3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-12-11T10:09:57Z",
    "title_canon_sha256": "787d2ebf6b9a64b21d43b8f3632afe3a3d15b4ac1628cc844599fc2399529773"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03574",
    "kind": "arxiv",
    "version": 1
  }
}