Pith Number

pith:FP73ZTTN

pith:2023:FP73ZTTNS4SL3CHRLM6PP3PGJF

not attested not anchored not stored refs pending

The photography method: solving pentagon equation

Vassily Olegovich Manturov, Zheyan Wan

arxiv:2305.11945 v3 · 2023-05-19 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FP73ZTTNS4SL3CHRLM6PP3PGJF}

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.

Cited by

1 paper in Pith

Octagon and tropical octagon yield braid invariants

Receipt and verification

First computed	2026-07-05T09:40:52.529641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bffbcce6d9724bd88f15b3cf7ede64966b3171debb00cf4281997579706eccd

Aliases

arxiv: 2305.11945 · arxiv_version: 2305.11945v3 · doi: 10.48550/arxiv.2305.11945 · pith_short_12: FP73ZTTNS4SL · pith_short_16: FP73ZTTNS4SL3CHR · pith_short_8: FP73ZTTN

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/FP73ZTTNS4SL3CHRLM6PP3PGJF \
  | 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: 2bffbcce6d9724bd88f15b3cf7ede64966b3171debb00cf4281997579706eccd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5e322c930c3cee711f8146957ff4f9bd9c88a7c3ec7c340f10c52d1398082a4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-05-19T18:05:09Z",
    "title_canon_sha256": "b94556adb81f34d49f7cda442996715779e4376d6d2952c9938e0862ae4289c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.11945",
    "kind": "arxiv",
    "version": 3
  }
}