Pith Number

pith:FEBVY3T6

pith:2017:FEBVY3T6MGOAIBHUSE4CZHBEUQ

not attested not anchored not stored refs pending

Why there is no an existence theorem for a convex polytope with prescribed directions and perimeters of the faces?

Victor Alexandrov

arxiv:1707.08288 v2 · 2017-07-26 · 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{FEBVY3T6MGOAIBHUSE4CZHBEUQ}

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	2026-05-18T00:18:31.684579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29035c6e7e619c0404f491382c9c24a430f06a319195025dbb89db5f0befc4c7

Aliases

arxiv: 1707.08288 · arxiv_version: 1707.08288v2 · doi: 10.48550/arxiv.1707.08288 · pith_short_12: FEBVY3T6MGOA · pith_short_16: FEBVY3T6MGOAIBHU · pith_short_8: FEBVY3T6

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/FEBVY3T6MGOAIBHUSE4CZHBEUQ \
  | 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: 29035c6e7e619c0404f491382c9c24a430f06a319195025dbb89db5f0befc4c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27973b62888234c85a4c0a709be1bd24fd514c51c162f42d9fe2b809b12538bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-07-26T05:03:56Z",
    "title_canon_sha256": "46ca6ef60f0e993ed8571e7eaa2d0d42857de81288c0e72c986b4b20bf37ed3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08288",
    "kind": "arxiv",
    "version": 2
  }
}