Pith Number

pith:VKTXLAXG

pith:2015:VKTXLAXGK7JO4WHSM7UZKEGITV

not attested not anchored not stored refs pending

Global Transonic Solutions of Planetary Atmospheres in Hydrodynamic Region $\mbox{--}$ Hydrodynamic Escape Problem due to Gravity and Heat

Bo-Chih Huang, Chien-Chang Yen, John M. Hong, Shih-Wei Chou

arxiv:1511.00804 v2 · 2015-11-03 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKTXLAXGK7JO4WHSM7UZKEGITV}

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	2026-05-18T01:26:57.081449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaa77582e657d2ee58f267e99510c89d51d10e366e5b4f8d0edaebd6be870ba4

Aliases

arxiv: 1511.00804 · arxiv_version: 1511.00804v2 · doi: 10.48550/arxiv.1511.00804 · pith_short_12: VKTXLAXGK7JO · pith_short_16: VKTXLAXGK7JO4WHS · pith_short_8: VKTXLAXG

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/VKTXLAXGK7JO4WHSM7UZKEGITV \
  | 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: aaa77582e657d2ee58f267e99510c89d51d10e366e5b4f8d0edaebd6be870ba4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88aaba87c26a738b192e52549c434c45ff042293b018cce2d45790b680f8ba30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-03T08:02:38Z",
    "title_canon_sha256": "aea555b109daf8468ddb9a53a222b5591dbf927c25126ea2252e0a1ecdb83d01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00804",
    "kind": "arxiv",
    "version": 2
  }
}